Artículo
Minian, E.G. "Complexes in cat" (2002) Topology and its Applications. 119(1):41-51
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Abstract:
We introduce the notion of complexes in the category of small categories, generalizing the theory of CW-complexes. The theory developed in this paper can also be applied in other categories with various cylinders like Simplicial complexes. © 2002 Elsevier Science B.V. All rights reserved.
Registro:
| Documento: | Artículo |
| Título: | Complexes in cat |
| Autor: | Minian, E.G. |
| Filiación: | Departamento di Matematica, Ciudad Universitaria, 1428 Ciudad de Buenos Aires, Argentina |
| Palabras clave: | Algebraic homotopy; CW-complexes; Simplicial complexes; Small categories |
| Año: | 2002 |
| Volumen: | 119 |
| Número: | 1 |
| Página de inicio: | 41 |
| Página de fin: | 51 |
| DOI: | http://dx.doi.org/10.1016/S0166-8641(01)00058-X |
| Título revista: | Topology and its Applications |
| Título revista abreviado: | Topol. Appl. |
| ISSN: | 01668641 |
| CODEN: | TIAPD |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01668641_v119_n1_p41_Minian |
Referencias:
- Baues, H.J., Algebraic Homotopy (1989) Cambridge Stud. Adv. Math., 15. , Cambridge, UK: Cambridge Univ. Press
- Hoff, G., Catégories fibrées et homotopie (1974) C. R. Acad. Sci. Paris, 278, p. 223
- Hoff, G., Introduction à l'homotopie dans Cat (1975) Esquisses Mathématiques, 23
- Minian, E.G., Generalized cofibration categories and global actions (2000) K-Theory, 20, pp. 37-95
- Minian, E.G., Lambda-cofibration categories and the homotopy category of global actions and simplicial complexes Appl. Categorical Structures, , To appear
- Minian, E.G., Cat as a Lambda-cofibration category (2001) J. Pure Appl. Algebra, 167, pp. 301-314
- Quillen, D.G., (1967) Homotopical Algebra, Lectures Notes in Math., 43. , Berlin: Springer
- Quillen, D.G., Higher algebraic K-theory I (1973) Lectures Notes in Math., 341. , Berlin: Springer
- Segal, G., Classifying spaces and spectral sequences (1968) Publ. Math. Inst. des Hautes Etudes Scient. (Paris), 34, pp. 105-112
- Switzer, R., (1975) Algebraic Topology-Homotopy and Homology, , Berlin: Springer
- Thomason, R.W., Cat as a closed model category (1980) Cahiers Topologie Géom. Différentielle, 21 (3), pp. 305-324
Citas:
---------- APA ----------
(2002) . Complexes in cat. Topology and its Applications, 119(1), 41-51.http://dx.doi.org/10.1016/S0166-8641(01)00058-X
---------- CHICAGO ----------
Minian, E.G. "Complexes in cat" . Topology and its Applications 119, no. 1 (2002) : 41-51.http://dx.doi.org/10.1016/S0166-8641(01)00058-X
---------- MLA ----------
Minian, E.G. "Complexes in cat" . Topology and its Applications, vol. 119, no. 1, 2002, pp. 41-51.http://dx.doi.org/10.1016/S0166-8641(01)00058-X
---------- VANCOUVER ----------
Minian, E.G. Complexes in cat. Topol. Appl. 2002;119(1):41-51.http://dx.doi.org/10.1016/S0166-8641(01)00058-X
